17 citations · 44 across the 9 of their papers we have counts for
14 papers
The structure of irreducible cuspidal eta quotients
Soumya Bhattacharya
We show that an ir{\-}reducible cuspidal eta quotient of level~ is uniquely identified by its orders of vanishing at cusps, where denotes the number of…
Polynomial-time algorithm for exact -center problem under continuous Fréchet distance
Soumya Bhattacharya, Serene Rasheed, Sasanka Roy
In this paper, we explore the -center problem for polygonal curves under continuous Fréchet distance. The -center problem, in general, is known to be NP-hard. Aron…
Action principle of Galilean relativistic Proca theory
Rabin Banerjee, Soumya Bhattacharya
In this paper, we discuss Galilean relativistic Proca theory in detail. We first provide a set of mapping relations, derived systematically, that connect the covariant and contrava…
New formulation of Galilean relativistic Maxwell theory
Rabin Banerjee, Soumya Bhattacharya
In this paper, we discuss Galilean relativistic Maxwell theory in detail. We first provide a set of mapping relations, derived systematically, that connect the covariant and contra…
Gravitational wave memory in wormhole spacetimes
Indranil Chakraborty, Soumya Bhattacharya, Sumanta Chakraborty
Gravitational wave memory is studied in the context of a certain class of braneworld wormholes. Unlike other wormhole geometries, this novel class of wormholes do not require any e…
Perturbations of giant magnons and single spikes in
Soumya Bhattacharya, Sayan Kar, Kamal L. Panigrahi
Perturbations of giant magnons and single spikes in a dimensional background spacetime are analysed. Using the form of the giant magnon solution in the…
Perturbations of spiky strings in AdS3
Soumya Bhattacharya, Sayan Kar, Kamal L. Panigrahi
Perturbations of a class of semiclassical spiky strings in three dimensional Anti-de Sitter (AdS) spacetime, are investigated using the well-known Jacobi equations for small, norma…
Infinite Families of Simple Holomorphic Eta Quotients
Soumya Bhattacharya
We address the problem of constructing a simple holomor- phic eta quotient of a given level N . Such constructions are known for all cubefree N . Here, we provide such construction…
Perturbations of spiky strings in flat spacetimes
Soumya Bhattacharya, Sayan Kar, Kamal L. Panigrahi
Perturbations of a class of semiclassical strings known today as spiky strings, are studied using the well-known Jacobi equations for small normal deformations of an embedded timel…
Irreducibility of a holomorphic eta quotient is determinable
Soumya Bhattacharya
We show that a holomorphic eta quotient has only finitely many factors. We also provide an algorithm for checking irreducibility of holomorphic eta quotients by constructing an upp…
Holomorphic eta quotients of weight 1/2
Soumya Bhattacharya
We give a short proof of Zagier's conjecture / Mersmann's theorem which states that each holomorphic eta quotient of weight 1/2 is an integral rescaling of some eta quotient from Z…
Finiteness of simple holomorphic eta quotients of a given weight
Soumya Bhattacharya
We provide a simplified proof of Zagier's conjecture / Mersmann's theorem which states that of any particular weight, there are only finitely many holomorphic eta quotients, none o…
Finiteness of irreducible holomorphic eta quotients of a given level
Soumya Bhattacharya
We show that for any positive integer , there are only finitely many holomorphic eta quotients of level , none of which is a product of two holomorphic eta quotients other th…
Spiky strings in -deformed
Aritra Banerjee, Soumya Bhattacharya, Kamal L. Panigrahi
We study rigidly rotating strings in -deformed background. We probe this classically integrable background with `spiky' strings and analyze the string profiles in…